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Finding the Third Proportional to 81.49 and 178.10

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Solution

The third proportional to 81.49 and 178.10 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.49 : 178.10 = 178.10 : x
  2. Step 2: Convert to fraction form
    81.49/178.10 = 178.10/x
  3. Step 3: Cross multiply
    81.49x = 178.10 × 178.10
  4. Step 4: Simplify right side
    81.49x = 31,720.17
  5. Step 5: Solve for x
    x = 31,720.17/81.49
  6. Step 6: Final answer
    x = 389.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.